Lower order for meromorphic solutions to linear delay-differential equations

Electronic Journal of Differential Equations

article

Rachid Bellaama¹  Benharrat Belaïdi¹ 

[1] Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem

关键词: Linear difference equation;    linear delay-differential equation;    meromorphic solution;    order;    type;    lower order;    lower type.;   

DOI  :  10.58997/ejde.2021.92

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this article, we study the order of growth for solutions of the non-homogeneous linear delay-differential equationwhere, are entire or meromorphic functions and are non-zero distinct complex numbers. Under the condition that there exists one coefficient having the maximal lower order, or having the maximal lower type, strictly greater than the order, or the type, of the other coefficients, we obtain estimates of the lower bound of the order of meromorphic solutions of the above equation.

【 授权许可】

CC BY